Question

What is the simplified form of the expression k^3(K^7/5)^-5

Answer 1

`\bf k^3\left( \cfrac{k^7}{5} \right)^(-5)\implies k^3\left( \cfrac{5}{k^7} \right)^5\implies k^3\left( \cfrac{5^5}{k^(7\cdot 5)} \right)\implies k^3\cdot \cfrac{5^5}{k^(35)} \\\\\\ k^3\cdot 5^5\cdot k^(-35)\implies 5^5\cdot k^(3-35)\implies 5^5k^(-32)\implies \cfrac{5^5}{k^(32)}\implies \cfrac{3125}{k^(32)}`